Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics

1. Amplitude Equations for Weakly Nonlinear Surface Waves in Variational Problems
Sylvie Benzoni-Gavage, Jean-François Coulombel

2. Global Weak Solutions of PDEs for Compressible Media: A Compactness Criterion to Cover New Physical Situations
Didier Bresch, Pierre-Emmanuel Jabin

3. Second Microlocalization and Stabilization of Damped Wave Equations on Tori
Nicolas Burq

4. A Few Remarks on Hyperbolic Systems with Zygmund in Time Coefficients
Francesco Fanelli

5. Wellposedness of Linearized Taylor Equations in Magnetohydrodynamics
Isabelle Gallagher, David Gérard-Varet

6. Strictly Dissipative Nonuniqueness with Corners
Guy Métivier, Jeffrey Rauch

7. On the Solvability of Certain Degenerate Partial Differential Operators
Alberto Parmeggiani

8. Location and Weyl Formula for the Eigenvalues of Some Non Self-Adjoint Operators
Vesselin Petkov

9. A Microscopic Point of View on Singularities in Fluid Models
Laure Saint-Raymond

10. Geometric Optics for Rayleigh Pulses in Nonlinear Elasticity
Mark Williams

11. Recent Results on Stability of Planar Detonations
Kevin Zumbrun

Keywords: Mathematics, Partial Differential Equations, Fourier Analysis, Mathematical Physics, Applications of Mathematics